id int64 1 735k | topic stringclasses 11
values | difficulty stringclasses 2
values | question stringlengths 12 91 | answer stringlengths 1 11 | reasoning stringlengths 20 98 | category stringclasses 19
values |
|---|---|---|---|---|---|---|
731,601 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
731,602 | geometry | easy | Find the perimeter of a rectangle with length 89 and width 42. | 262 | Perimeter = 2*(length+width) = 2*(89+42) = 2*131 = 262. | rectangle_perim |
731,603 | algebra | easy | Solve for x: 8x + 26 = 90 | 8 | Subtract 26 from both sides: 8x = 90-26=64. Then divide by 8: x = 64/8 = 8. | linear_equation |
731,604 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
731,605 | algebra | medium | Solve for x: x^2 - 25 = 0 | x = -5, 5 | Factor: (x - -5)(x - 5) = x^2 -(0)x + -25 = 0. So x = -5 or 5. Check sum = 0, product = -25. | quadratic |
731,606 | fractions | medium | What is 16/18 - 10/4? Give as simplified fraction. | -29/18 | Common denominator 72. Numerator 64-180=-116. So -116/72 simplifies to -29/18. | fraction_operations |
731,607 | algebra | easy | Solve for x: 8x + 38 = 158 | 15 | Subtract 38 from both sides: 8x = 158-38=120. Then divide by 8: x = 120/8 = 15. | linear_equation |
731,608 | number_theory | medium | What is the GCD (greatest common divisor) of 72 and 2? | 2 | Find greatest number dividing both 72 and 2. Divisors common, greatest is 2. | gcd |
731,609 | percentages | easy | What is 28% of 815? | 228.2 | Calculate 28/100 * 815 = 0.28*815 = 228.2. | percentages |
731,610 | algebra | medium | Solve for x: x^2 - 8x = 0 | x = 8, 0 | Factor: (x - 8)(x - 0) = x^2 -(8)x + 0 = 0. So x = 8 or 0. Check sum = 8, product = 0. | quadratic |
731,611 | percentages | easy | What is 39% of 112? | 43.68 | Calculate 39/100 * 112 = 0.39*112 = 43.68. | percentages |
731,612 | geometry | easy | Find the perimeter of a rectangle with length 21 and width 40. | 122 | Perimeter = 2*(length+width) = 2*(21+40) = 2*61 = 122. | rectangle_perim |
731,613 | fractions | medium | What is 5/10 * 19/11? Give as simplified fraction. | 19/22 | Multiply numerators: 5*19=95. Denominators: 10*11=110. Simplify by gcd 5 to get 19/22. | fraction_operations |
731,614 | percentages | easy | What is 48% of 778? | 373.44 | Calculate 48/100 * 778 = 0.48*778 = 373.44. | percentages |
731,615 | statistics | easy | What is the mean (average) of 79, 63, 73? | 71.67 | Mean = sum/count. Sum = 79+63+73=215. Count=3. Mean=215/3=71.67. | mean |
731,616 | arithmetic | easy | What is 54 * 19? | 1026 | Multiply: 54 * 19 = 1026. | basic_operations |
731,617 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
731,618 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
731,619 | fractions | medium | What is 19/5 * 20/9? Give as simplified fraction. | 76/9 | Multiply numerators: 19*20=380. Denominators: 5*9=45. Simplify by gcd 5 to get 76/9. | fraction_operations |
731,620 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 5, 6 | Factor: (x - 5)(x - 6) = x^2 -(11)x + 30 = 0. So x = 5 or 6. Check sum = 11, product = 30. | quadratic |
731,621 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 25? | 1 | Find greatest number dividing both 62 and 25. Divisors common, greatest is 1. | gcd |
731,622 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
731,623 | statistics | easy | What is the mean (average) of 7, 84, 79, 92? | 65.5 | Mean = sum/count. Sum = 7+84+79+92=262. Count=4. Mean=262/4=65.5. | mean |
731,624 | arithmetic | easy | What is 983 - 270? | 713 | Subtract: 983 - 270 = 713. | basic_operations |
731,625 | word_problems | easy | If you have 81 pencils and you buy 18 more pencils, how many pencils do you have in total? | 99 | Add initial 81 plus bought 18: 81+18=99. | addition_word |
731,626 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 82? | 1 | Find greatest number dividing both 29 and 82. Divisors common, greatest is 1. | gcd |
731,627 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
731,628 | word_problems | easy | If you have 12 apples and you buy 1 more apples, how many apples do you have in total? | 13 | Add initial 12 plus bought 1: 12+1=13. | addition_word |
731,629 | arithmetic | easy | What is 504 / 24? | 21 | Divide: 504 ÷ 24 = 21 because 24*21=504. | division |
731,630 | arithmetic | easy | What is 71 + 73 * 16? Remember order of operations. | 1239 | Order of operations (PEMDAS): first 73*16=1168, then 71+1168=1239. | basic_operations |
731,631 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
731,632 | percentages | easy | What is 45% of 596? | 268.2 | Calculate 45/100 * 596 = 0.45*596 = 268.2. | percentages |
731,633 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 20? | 1 | Find greatest number dividing both 33 and 20. Divisors common, greatest is 1. | gcd |
731,634 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
731,635 | statistics | easy | What is the mean (average) of 76, 13, 72? | 53.67 | Mean = sum/count. Sum = 76+13+72=161. Count=3. Mean=161/3=53.67. | mean |
731,636 | arithmetic | easy | What is 49 - 1? | 48 | Subtract: 49 - 1 = 48. | basic_operations |
731,637 | statistics | easy | What is the mean (average) of 13, 51, 75, 69, 30? | 47.6 | Mean = sum/count. Sum = 13+51+75+69+30=238. Count=5. Mean=238/5=47.6. | mean |
731,638 | word_problems | easy | If you have 25 books and you buy 45 more books, how many books do you have in total? | 70 | Add initial 25 plus bought 45: 25+45=70. | addition_word |
731,639 | algebra | easy | Solve for x: 9x - 2 = -2 | 0 | Add 2 to both sides: 9x = -2+2=0. Then x = 0/9 = 0. | linear_equation |
731,640 | arithmetic | easy | What is 854 - 496? | 358 | Subtract: 854 - 496 = 358. | basic_operations |
731,641 | algebra | easy | Solve for x: 19x - 32 = 215 | 13 | Add 32 to both sides: 19x = 215+32=247. Then x = 247/19 = 13. | linear_equation |
731,642 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
731,643 | arithmetic | easy | What is 31 + 46 * 76? Remember order of operations. | 3527 | Order of operations (PEMDAS): first 46*76=3496, then 31+3496=3527. | basic_operations |
731,644 | number_theory | medium | What is the LCM (least common multiple) of 98 and 69? | 6762 | LCM = |98*69| / GCD(98,69). GCD=1, so LCM=6762/1=6762. | lcm |
731,645 | arithmetic | easy | What is 67 * 78? | 5226 | Multiply: 67 * 78 = 5226. | basic_operations |
731,646 | arithmetic | easy | What is 571 - 452? | 119 | Subtract: 571 - 452 = 119. | basic_operations |
731,647 | algebra | easy | Solve for x: 19x + 36 = -306 | -18 | Subtract 36 from both sides: 19x = -306-36=-342. Then divide by 19: x = -342/19 = -18. | linear_equation |
731,648 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
731,649 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
731,650 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
731,651 | arithmetic | easy | What is 19 + 11 * 43? Remember order of operations. | 492 | Order of operations (PEMDAS): first 11*43=473, then 19+473=492. | basic_operations |
731,652 | fractions | medium | What is 3/20 * 5/17? Give as simplified fraction. | 3/68 | Multiply numerators: 3*5=15. Denominators: 20*17=340. Simplify by gcd 5 to get 3/68. | fraction_operations |
731,653 | algebra | medium | Solve for x: x^2 + 12x + 32 = 0 | x = -4, -8 | Factor: (x - -4)(x - -8) = x^2 -(-12)x + 32 = 0. So x = -4 or -8. Check sum = -12, product = 32. | quadratic |
731,654 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 70. | 202 | Perimeter = 2*(length+width) = 2*(31+70) = 2*101 = 202. | rectangle_perim |
731,655 | number_theory | medium | What is the GCD (greatest common divisor) of 63 and 37? | 1 | Find greatest number dividing both 63 and 37. Divisors common, greatest is 1. | gcd |
731,656 | arithmetic | easy | What is 2000 / 4? | 500 | Divide: 2000 ÷ 4 = 500 because 4*500=2000. | division |
731,657 | arithmetic | easy | What is 16124 / 58? | 278 | Divide: 16124 ÷ 58 = 278 because 58*278=16124. | division |
731,658 | percentages | easy | What is 13% of 422? | 54.86 | Calculate 13/100 * 422 = 0.13*422 = 54.86. | percentages |
731,659 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
731,660 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
731,661 | algebra | medium | Solve for x: x^2 + 13x + 30 = 0 | x = -3, -10 | Factor: (x - -3)(x - -10) = x^2 -(-13)x + 30 = 0. So x = -3 or -10. Check sum = -13, product = 30. | quadratic |
731,662 | arithmetic | easy | What is 171 + 324? | 495 | Add the two numbers: 171 + 324 = 495. | basic_operations |
731,663 | word_problems | easy | If you have 28 candies and you buy 15 more candies, how many candies do you have in total? | 43 | Add initial 28 plus bought 15: 28+15=43. | addition_word |
731,664 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
731,665 | algebra | easy | Solve for x: 17x + 44 = 265 | 13 | Subtract 44 from both sides: 17x = 265-44=221. Then divide by 17: x = 221/17 = 13. | linear_equation |
731,666 | percentages | easy | What is 3% of 583? | 17.49 | Calculate 3/100 * 583 = 0.03*583 = 17.49. | percentages |
731,667 | arithmetic | easy | What is 4940 / 19? | 260 | Divide: 4940 ÷ 19 = 260 because 19*260=4940. | division |
731,668 | word_problems | easy | If you have 8 books and you buy 25 more books, how many books do you have in total? | 33 | Add initial 8 plus bought 25: 8+25=33. | addition_word |
731,669 | arithmetic | easy | What is 668 + 222? | 890 | Add the two numbers: 668 + 222 = 890. | basic_operations |
731,670 | algebra | medium | Solve for x: x^2 - 12x + 27 = 0 | x = 3, 9 | Factor: (x - 3)(x - 9) = x^2 -(12)x + 27 = 0. So x = 3 or 9. Check sum = 12, product = 27. | quadratic |
731,671 | arithmetic | easy | What is 391 - 94? | 297 | Subtract: 391 - 94 = 297. | basic_operations |
731,672 | arithmetic | easy | What is 514 + 338? | 852 | Add the two numbers: 514 + 338 = 852. | basic_operations |
731,673 | algebra | easy | Solve for x: 19x + 27 = 198 | 9 | Subtract 27 from both sides: 19x = 198-27=171. Then divide by 19: x = 171/19 = 9. | linear_equation |
731,674 | geometry | easy | Find the area of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 3019.07 | Area = pi*r^2 = 3.14159*31^2 = 3.14159*961 = 3019.07. | circle_area |
731,675 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
731,676 | arithmetic | easy | What is 81 + 99 * 12? Remember order of operations. | 1269 | Order of operations (PEMDAS): first 99*12=1188, then 81+1188=1269. | basic_operations |
731,677 | arithmetic | easy | What is 963 - 743? | 220 | Subtract: 963 - 743 = 220. | basic_operations |
731,678 | arithmetic | easy | What is 91 + 140? | 231 | Add the two numbers: 91 + 140 = 231. | basic_operations |
731,679 | arithmetic | easy | What is 3351 divided by 21? Give answer to 2 decimal places. | 159.57 | Calculate 3351/ 21 = 159.5714, rounded to 2 decimals is 159.57. | division |
731,680 | word_problems | easy | If you have 79 candies and you buy 39 more candies, how many candies do you have in total? | 118 | Add initial 79 plus bought 39: 79+39=118. | addition_word |
731,681 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
731,682 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
731,683 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
731,684 | arithmetic | easy | What is 691 + 575 * 2? Remember order of operations. | 1841 | Order of operations (PEMDAS): first 575*2=1150, then 691+1150=1841. | basic_operations |
731,685 | word_problems | easy | If you have 17 books and you buy 35 more books, how many books do you have in total? | 52 | Add initial 17 plus bought 35: 17+35=52. | addition_word |
731,686 | arithmetic | easy | What is 49 + 50 * 19? Remember order of operations. | 999 | Order of operations (PEMDAS): first 50*19=950, then 49+950=999. | basic_operations |
731,687 | arithmetic | easy | What is 53 + 462 * 79? Remember order of operations. | 36551 | Order of operations (PEMDAS): first 462*79=36498, then 53+36498=36551. | basic_operations |
731,688 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
731,689 | number_theory | medium | What is the GCD (greatest common divisor) of 100 and 25? | 25 | Find greatest number dividing both 100 and 25. Divisors common, greatest is 25. | gcd |
731,690 | calculus | medium | What is the indefinite integral of x^5 dx? | x^6/6 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^5 = x^6/6 + C. | integral |
731,691 | arithmetic | easy | What is 1444 / 38? | 38 | Divide: 1444 ÷ 38 = 38 because 38*38=1444. | division |
731,692 | arithmetic | easy | What is 44 * 30? | 1320 | Multiply: 44 * 30 = 1320. | basic_operations |
731,693 | arithmetic | easy | What is 37 * 97? | 3589 | Multiply: 37 * 97 = 3589. | basic_operations |
731,694 | algebra | easy | Solve for x: 11x - 6 = 181 | 17 | Add 6 to both sides: 11x = 181+6=187. Then x = 187/11 = 17. | linear_equation |
731,695 | arithmetic | easy | What is 500 / 5? | 100 | Divide: 500 ÷ 5 = 100 because 5*100=500. | division |
731,696 | geometry | easy | Find the area of a rectangle with length 3 and width 39. | 117 | Area = length * width = 3*39 = 117. | rectangle_area |
731,697 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 7, 9 | Factor: (x - 7)(x - 9) = x^2 -(16)x + 63 = 0. So x = 7 or 9. Check sum = 16, product = 63. | quadratic |
731,698 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
731,699 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
731,700 | arithmetic | easy | What is 4092 divided by 13? Give answer to 2 decimal places. | 314.77 | Calculate 4092/ 13 = 314.7692, rounded to 2 decimals is 314.77. | division |
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